辛變換 的英文怎麼說
中文拼音 [xīnbiànhuàn]
辛變換
英文
symplectic transformation-
The governing equations of the problem are derived in hamiltonian form by using variable substitution and variational principle. then the methods of separation of variables and conjugate symplectic eigenfunction expansion are developed to solve the equations of plate bending problem. the result can be derived by analytical method
在平面彈性問題中,由變量代換及變分原理,方程可導向哈密頓體系,從而通過分離變量法及共軛辛本徵函數向量展開法,以解析的方法來進行求解。This paper is to study harmonic maps into symplectic groups and local isometric immersions into space forms by means of the soliton theory. by realizing an action of the rational loop group on the spaces of corrsponding solutions, we get the backlund transformation and the darboux transformation, and thereby we give the explicit construction for harmonic maps into symplectic groups and local isometric immersions into space forms via purely algebraic algorithm
主要用孤立子理論研究到辛群的調和映射和到空間形式的局部等距浸入,通過有理loop群在其解空間上的dressing作用,給出b icklund變換和darboux變換的顯式表示,從而獲得到辛群及其對稱空間的調和映射和到空間形式的局部等距浸入的純代數構造方法。The most important property for hamiltonian systems is the poincare and liuville ' s conservation law of phase areas, i. e., the phase flow is a one - parameter symplectic transformation
哈氏系統最重要的性質是龐加萊-劉維爾的一系列相面積的守恆律,即系統的相流是一個單參數的保辛變換。In this paper, by means of the euler systems on the symplectic manifold, the bargmann system and the neumann system for the 4f / lorder eigenvalue problems : are gained. then the lax pairs for them are nonlinearized respectively under the bargmann constraint and the neumann constraint. by means of this and based on the euler - lagrange function and legendre transformations, the reasonable jacobi - ostrogradsky coordinate systems are found, which can also be realized
本文主要通過流形上的euler系統,討論四階特徵值問題所對應的bargmann系統和neumann系統,藉助于lax對非線性化及euler - lagrange方程和legendre變換,構造一組合理的且可實化的jacobi - ostrogradsky坐標系? hamilton正則坐標系,將由lagrange力學描述的動力系統轉化為辛空間( r ~ ( 8n ) , )上的hamillton正則系統。In the study of the lagrange stability of impact motion, we give some conditions of the bouncing solution of the asymptotically linear equation which is bounded or unbounded. outside of a large disc, using the symplectic transformation of the hamilton system to estimate the iteration of the successor map. applying the moser ' s small twist theorem, we get the invariant curves and then give the proof of the bouncing solutions which is bounded
在碰撞運動的lagrange穩定性的討論中,給出了漸近線性方程碰撞解有界或無界的條件,在充分大的圓盤外,通過hamilton系統的辛坐標變換的角度平均來估計后繼映射的迭代,應用moser小扭轉定理得到不變曲線從而給出在一定條件下碰撞解有界的證明,碰撞解無界性的證明將採用直接估計后繼映射的方法給出。The symplectic uniton and symplectic extended uniton are introduced. the method of the symplectic backlund transformation and the darboux transformation is used to construct new symplectic uniton from a known one
引進了辛uniton的概念,通過b icklund變換和darboux變換,給出了由已知辛uniton構造新的辛uniton的純代數方法。Mourinho went to plan b at half - time : essien to right - back, geremi off and kalou on - the team to 4 - 3 - 3
穆帥下半場用b計劃:埃辛打右後衛,卡盧換下格雷米? ?變陣433 。We get the sufficient condition for the limit method to be symplectic by use of the definition of symplectic transformation. under some reasonable assumptions, the author proves that this condition is also necessary
對此我們利用辛變換的定義得出了該方法為辛的充分條件,並在一些合理的假設下,證明此條件也是必要的。By means of the theory and the computational methods and via the laplacian transform, the viscoelastic problem can be come down to fundamental problems under the phase space. then hamiltonian system is introduced into the space
論文採用理論與計算相結合的研究方法,通過拉普拉斯變換將粘彈性力學問題歸結為相空間的基本問題,進一步在相空間中引入辛體系。分享友人